a. Find g'(x). A root of the equation g(x) = 0 lies in the interval [6.5,
Question:
a. Find g'(x).
A root α of the equation g(x) = 0 lies in the interval [6.5, 6.7].
b. Taking 6.6 as a first approximation to α, apply the Newton–Raphson process once to g(x) to obtain a second approximation to α. Give your answer to 3 decimal places.
c. Given that g(1) = 0, find the exact value of the other two roots of g(x).
d. Calculate the percentage error of your answer in part b.
Transcribed Image Text:
g(x) = x³ - 7x² + 2x + 4
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a gx 3x 14x ...View the full answer
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Related Book For
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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